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Finding the Third Proportional to 267,599.95 and 380,486.74

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Solution

The third proportional to 267,599.95 and 380,486.74 is: 540,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,599.95 : 380,486.74 = 380,486.74 : x
  2. Step 2: Convert to fraction form
    267,599.95/380,486.74 = 380,486.74/x
  3. Step 3: Cross multiply
    267,599.95x = 380,486.74 × 380,486.74
  4. Step 4: Simplify right side
    267,599.95x = 144,770,160,980.46
  5. Step 5: Solve for x
    x = 144,770,160,980.46/267,599.95
  6. Step 6: Final answer
    x = 540,994.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.